What is the Greatest Common Factor of 39694 and 39712?

Greatest common factor (GCF) of 39694 and 39712 is 2.

GCF(39694,39712) = 2

We will now calculate the prime factors of 39694 and 39712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39694 and 39712.

How to find the GCF of 39694 and 39712?

We will first find the prime factorization of 39694 and 39712. After we will calculate the factors of 39694 and 39712 and find the biggest common factor number .

Step-1: Prime Factorization of 39694

Prime factors of 39694 are 2, 89, 223. Prime factorization of 39694 in exponential form is:

39694 = 2¹ × 89¹ × 223¹

Step-2: Prime Factorization of 39712

Prime factors of 39712 are 2, 17, 73. Prime factorization of 39712 in exponential form is:

39712 = 2⁵ × 17¹ × 73¹

Step-3: Factors of 39694

List of positive integer factors of 39694 that divides 39694 without a remainder.

1, 2, 89, 178, 223, 446, 19847

Step-4: Factors of 39712

List of positive integer factors of 39712 that divides 39694 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 73, 136, 146, 272, 292, 544, 584, 1168, 1241, 2336, 2482, 4964, 9928, 19856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39694 and 39712. The biggest common factor number is the GCF number.
So the greatest common factor 39694 and 39712 is 2.

Also check out the Least Common Multiple of 39694 and 39712